Here is the full list of all 75 The Elder Scrolls V: Skyrim Special Edition achievements worth 1,550 gamerscore.
Join the Companions
Join the Dark Brotherhood
Successfully persuade, bribe, and intimidate
Complete "Dragonslayer"
Complete "The Fallen"
Complete "Elder Knowledge"
Complete "Alduin's Wall"
Complete "Diplomatic Immunity"
Complete "Kindred Judgment"
Use the special power of Auriel's Bow
Complete "Beyond Death"
Read 50 Skill Books
Learn 20 shouts
Complete "Awakening"
Reach Level 50
Own a house in Raven Rock
Learn the secrets of 5 Black Books
Complete "At the Summit of Apocrypha"
Discover 30 locations on the island of Solstheim
Have 100,000 gold
Learn all 3 words of Dragon Aspect
Get a skill to 100
Complete "The Path of Knowledge"
Complete "The Temple of Miraak"
Arrive on Solstheim
Complete 10 side quests
Clear 50 dungeons
Capture Solitude or Windhelm
Capture Fort Sungard or Fort Greenwall
Join the Stormcloaks or the Imperial Army
Absorb 20 dragon souls
Complete "The Eye of Magnus"
Complete "Revealing the Unseen"
Build three wings on a house
Chop wood, mine ore, and cook food
Buy a plot of land
Complete "Lost to the Ages"
Discover 100 Locations
Join the College of Winterhold
Complete 50 Misc Objectives
Reach Level 25
Find 13 Standing Stones
Make a smithed item, an enchanted item, and a potion
Adopt a child
Buy a house
Acquire a Daedric Artifact
Reach Level 10
Join the Thieves Guild
Learn all three words of a shout
Complete "The Way of the Voice"
Absorb a dragon soul
Complete "Bleak Falls Barrow"
Reach Level 5
Select a Standing Stone blessing
Complete "Unbound"
Become a member of the Circle
Complete "Glory of the Dead"
Complete "Darkness Returns"
Returned the Thieves Guild to its former glory
Complete "Bound Until Death"
Complete "Hail Sithis!"
Pick 50 locks and 50 pockets
Escape from jail
Get married
Bounty of 1000 gold in all nine holds
Collect 15 Daedric Artifacts
Learn all three words of Soul Tear
Acquire 11 werewolf perks
Acquire 11 vampire perks
Change your face
Defeat a Legendary Dragon
Buy three plots of land
Build three houses
Craft an item out of Stalhrim
Tame and ride 5 dragons